Accurate charge dependent nucleon nucleon potential at fourth order of chiral perturbation theory

By D. R. Entem, Ruprecht Machleidt. 2003

1,012 citations recorded by the source corpus.

We present the first nucleon-nucleon potential at next-to-next-to-next-to-leading order (fourth order) of chiral perturbation theory. Charge dependence is included up to next-to-leading order of the isospin-violation scheme. The accuracy for the reproduction of the nucleon-nucleon $(NN)$ data below $290\text{\ensuremath{-}}\text{MeV}$ lab energy is comparable to the one of phenomenological high-precision potentials. Since $NN$ potentials of order three and less are known to be deficient in quantitative terms, the present work shows that the fourth order is necessary and sufficient for a $NN$ potential reliable up to $290\phantom{\rule{0.3em}{0ex}}\text{MeV}$. The new potential provides a promising starting point for exact few-body calculations and microscopic nuclear structure theory (including chiral many-body forces derived on the same footing).

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ac8fc0b4a72ea85f02d35064ce1e8369a6451f78

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Citations in the corpus

High-Precision Nuclear Forces From Chiral EFT: State-of-the-Art, Challenges, and Outlook (2019, methodology): “These qualitative estimations agree well with the actual underprediction of the 3H and 4He by the NN interactions alone which, using the AV18 [176], CD Bonn [146], N2LO [113], and Idaho N3LO [112] potentials as representative examples, amounts to 0.”
A Guided Tour of ab initio Nuclear Many-Body Theory (2020, background): “These forces are referred to as EMλ/3, where λ indicates the resolution scale of the NN interaction, the SRGevolved N3LO potential of Entem and Machleidt [200], and 3 is the cutoff of an NNLO three-nucleon interaction whose low-energy constants have been adjusted to fit the triton binding energy and”
Unified equation of state for neutron stars on a microscopic basis (2015, background): “More recently the chiral expansion theory to the nucleon interaction has been extensively developed (Weinberg 1968, 1990, 1991, 1992; Entem & Machleidt 2003; Valderrama & Phillips 2015; Leutwyler 1994; Epelbaum et al. 2009; Otsuka et al. 2010; Holt et al. 2013; Hebeler et al. 2011; Drischler et al.…”